%0 Generic %1 fan2020orbit %A Fan, Yue %D 2020 %K higgs %T The Orbit Type Stratification OF the Moduli Space of Higgs Bundles %U http://arxiv.org/abs/2005.13649 %X The moduli space of Higgs bundles can be constructed as a quotient of an infinite-dimensional space and hence admits an orbit type decomposition. In this paper, we show that the orbit type decomposition is a complex Whitney stratification such that each stratum is a complex symplectic submanifold and hence admits a complex Poisson bracket. Moreover, these Poisson brackets glue to a Poisson bracket on the structure sheaf of the moduli space so that the moduli space is a stratified complex symplectic space

@misc{fan2020orbit, abstract = {The moduli space of Higgs bundles can be constructed as a quotient of an infinite-dimensional space and hence admits an orbit type decomposition. In this paper, we show that the orbit type decomposition is a complex Whitney stratification such that each stratum is a complex symplectic submanifold and hence admits a complex Poisson bracket. Moreover, these Poisson brackets glue to a Poisson bracket on the structure sheaf of the moduli space so that the moduli space is a stratified complex symplectic space}, added-at = {2020-05-29T09:29:38.000+0200}, author = {Fan, Yue}, biburl = {https://www.bibsonomy.org/bibtex/2d714e1919d8f79ea5dced4c3a8336f1a/simonechiarello}, description = {The Orbit Type Stratification OF the Moduli Space of Higgs Bundles}, interhash = {cf8a8dcb8d97fbdfc157dc286f53b625}, intrahash = {d714e1919d8f79ea5dced4c3a8336f1a}, keywords = {higgs}, note = {cite arxiv:2005.13649Comment: 22 pages}, timestamp = {2020-05-29T09:29:38.000+0200}, title = {The Orbit Type Stratification OF the Moduli Space of Higgs Bundles}, url = {http://arxiv.org/abs/2005.13649}, year = 2020 }